First Philosophy: The Boundary Condition
Abstract: This paper demonstrates that the fundamental structure of reality can be derived from a single geometric necessity: for anything to exist as a distinct entity, it must be bounded, and for multiple bounded entities to coexist without fusion, there must be an interstitial space between them. I prove this space cannot itself be bounded without infinite regress, establishing the Indeterminate Ground as a geometric, not metaphysical, necessity. From this Boundary Condition, I derive the possibility of plurality, dynamism, knowledge, and value. The result is a First Philosophy that requires no substances, no axioms of consciousness, and no appeals to the supernatural—only the logic of distinction itself.
Status Log
2026-01-09 (Final Draft Polished)
Geometric proofs refined for coherence and rigor: Theorem 4.1 corrected for clarity, Theorem 5.1 and Corollary 5.3 sharpened to establish causal neutrality and the primacy of process, semantic grounding (Corollary 7.3) firmly anchored in the *Archē*, and the logic of value (Theorem 9.3) refined to account for neutral events. All historical commentary confined to targeted footnotes, maintaining the paper's self-contained geometric purity.
2026-01-09
Preprint published on Zenodo, PhilPapers, Academia.edu, and Archive.org. The foundational argument—that all determination requires an indeterminate ground—is now formalized, timestamped, and publicly available for engagement. DOI 10.5281/zenodo.18201699
2026-01-09
Core geometric insight crystallized. The Boundary Argument—deriving GZP from the necessity of interstitial space between bounded entities—fully realized. Manuscript expanded and rewritten as *First Philosophy: The Boundary Condition*.
AI Transparency Statement: Artificial Intelligence was used to smooth the prose, suggest analogies, and identify secondary literature. If you find this text dense, be grateful—the original human draft was far more impenetrable. While the machine improved the flow, all philosophical arguments and primary source engagement remain the stubborn responsibility of the author.